Results 271 to 280 of about 219,279 (313)
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Mathematische Nachrichten, 1984
This paper is the sequel to ''Hypercomplete convergence spaces'' (review above) and exhibits the main example of a hypercomplete cvs: the web spaces arising from M. De Wilde's strict webs. In this paper, de Wilde's theory of webbed spaces is generalized from a locally convex topological vector space (\(\ell cs)\) setting to a convergence vector space ...
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This paper is the sequel to ''Hypercomplete convergence spaces'' (review above) and exhibits the main example of a hypercomplete cvs: the web spaces arising from M. De Wilde's strict webs. In this paper, de Wilde's theory of webbed spaces is generalized from a locally convex topological vector space (\(\ell cs)\) setting to a convergence vector space ...
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Hypercomplete Convergence Spaces
Mathematische Nachrichten, 1984This paper combines with its sequel ''Convergence spaces with webs'' (review below) to relate the closed graph theories of J. L. Kelley and M. de Wilde. Kelley's notion of hypercompleteness and De Wilde's notion of webs are generalized from locally convex topological vector spaces (\(\ell cs)\) to convergence vector spaces (cvs).
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Modified Top-convergence spaces and their relationships to lattice-valued convergence spaces
Journal of Intelligent & Fuzzy Systems, 2018In this paper, a notion of modified ⊤-convergence spaces (initially defined by Fang and Yue in FSS , 2017) is given. Then the relationships between the modified ⊤-convergence spaces and types of lattice-valued convergence spaces are established.
Qiu Jin, Lingqiang Li
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Convergence in Sequence Spaces
Proceedings of the Edinburgh Mathematical Society, 1958In a perfect sequence space α, on which a norm is defined, we can consider three types of convergence, namely projective convergence, strong projective convergence and distance convergence. In the space σ∞, when distance is defined in the usual way, the last two types of convergence coincide and are distinct from projective convergence ((2), p.
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Completion of Semiuniform Convergence Spaces
Applied Categorical Structures, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Regularity in fuzzy convergence spaces
Fuzzy Sets and Systems, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minkler, J., Minkler, G., Richardson, G.
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A Compactification for Convergence Ordered Spaces
Canadian Mathematical Bulletin, 1984AbstractCompactifications are constructed for convergence ordered spaces and topological ordered spaces with extension properties that resemble those of the Stone-Čech compactification.
Kent, D. C., Richardson, G. D.
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Convergences in fuzzy topological spaces
Fuzzy Sets and Systems, 1999The authors introduce and investigate the notions of fuzzy upper limit, fuzzy lower limit and fuzzy limit of a net of fuzzy subsets of a fuzzy topological space in terms of quasi neighbourhoods, generalize Kuratowski's notion of continuous convergence to the set of fuzzy continuous functions and characterize fuzzy compactness and fuzzy continuous ...
Dimitris N. Georgiou +1 more
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Mathematische Nachrichten, 1990
AbstractA generalized notion of regularity is introduced which enables one to study locally compact spaces, sequential spaces, ω‐regular spaces, and other diverse types of spaces as special wises of p‐regular spaces.
Kent, D. C., Richardson, G. D.
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AbstractA generalized notion of regularity is introduced which enables one to study locally compact spaces, sequential spaces, ω‐regular spaces, and other diverse types of spaces as special wises of p‐regular spaces.
Kent, D. C., Richardson, G. D.
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On subseries convergence inF-spaces
Israel Journal of Mathematics, 1970In this note, we show that a series, Σx n , in a complete linear metric space with a basis is subseries convergent if and only if it is weakly subseries convergent.
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